optimal codes
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scholarly journals Optimal Codes Correcting Localized Deletions

2021 ◽  
Author(s):  
Rawad Bitar ◽  
Serge Kas Hanna ◽  
Nikita Polyanskii ◽  
Ilya Vorobyev
Keyword(s):  
Optimal Codes

On F2RS-cyclic codes and their applications in constructing optimal codes

2021 ◽  
Vol 344 (5) ◽  
pp. 112310
Author(s):  
Hai Q. Dinh ◽  
Sachin Pathak ◽  
Tushar Bag ◽  
Ashish Kumar Upadhyay ◽  
Ramakrishna Bandi ◽  
...  
Keyword(s):  
Cyclic Codes ◽  
Optimal Codes

Four classes of new entanglement-assisted quantum optimal codes

2021 ◽  
Author(s):  
Xiaojing Chen ◽  
Shixin Zhu ◽  
Wan Jiang ◽  
Binbin Pang
Keyword(s):  
Optimal Codes

Hamming distances of constacyclic codes of length 3p and optimal codes with respect to the Griesmer and Singleton bounds

2021 ◽  
Vol 70 ◽  
pp. 101794
Author(s):  
Hai Q. Dinh ◽  
Xiaoqiang Wang ◽  
Hongwei Liu ◽  
Woraphon Yamaka
Keyword(s):  
Constacyclic Codes ◽  
Optimal Codes

Constructions of Optimal Codes With Hierarchical Locality

2020 ◽  
Vol 66 (12) ◽  
pp. 7333-7340
Author(s):  
Guanghui Zhang ◽  
Hongwei Liu
Keyword(s):  
Optimal Codes

scholarly journals The complete hierarchical locality of the punctured Simplex code

2020 ◽  
Author(s):  
Matthias Grezet ◽  
Camilla Hollanti
Keyword(s):  
Complete List ◽  
Optimal Codes ◽  
Simplex Code

Abstract This paper presents a new alphabet-dependent bound for codes with hierarchical locality. Then, the complete list of possible localities is derived for a class of codes obtained by deleting specific columns from a Simplex code. This list is used to show that these codes are optimal codes with hierarchical locality.

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